Usually no, or only very slightly, especially in the crust.
In San Francisco they buck the trend and emphasize this sour taste. I loved that bread. Hard to get that taste elsewhere though, the culture changes if moved out of San Francisco. Unfortunately the best S.F. sourdough companies long since past, I think only Boudin is left and they weren't the best bread (more the best business minded). Larraburu was one of the best, and that is a sad story how that ended (and famous in legal circles).